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Finding the Fourth Proportional to 22,369.84, 30,832.32 and 15,283.96

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Solution

The fourth proportional to 22,369.84, 30,832.32 and 15,283.96 is: 21,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.84 : 30,832.32 = 15,283.96 : x
  2. Step 2: Convert to fraction form
    22,369.84/30,832.32 = 15,283.96/x
  3. Step 3: Cross multiply
    22,369.84x = 30,832.32 × 15,283.96
  4. Step 4: Simplify right side
    22,369.84x = 471,239,945.59
  5. Step 5: Solve for x
    x = 471,239,945.59/22,369.84
  6. Step 6: Final answer
    x = 21,065.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.